What is the y intercept for the $y = 2$ $y=2$ graph?

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What is the y intercept for the $y = 2$ $y=2$ graph?

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Answer 1 · 2014-12-02T16:10:17

An intercept is the point of intersection. A $y$ $y$ -intercept is the point that a line (in this case, the line $y = 2$ $y=2$ ) intersects the $y$ $y$ -axis.

The $y$ $y$ -intercept for the $y = 2$ $y=2$ graph is simply the point $(0, 2)$ $(0,2)$ .

Typically, to find a $y$ $y$ -intercept, we would set $x$ $x$ equal to zero and solve for $y$ $y$ ...But here, we don't have an $x$ $x$ -term. The given line is $y = 2$ $y=2$ , which tells us that for any $x$ $x$ , no matter how infinitely large or small, $y$ $y$ will always be 2. So, intuitively, we know that when $x$ $x$ is zero, $y$ $y$ is 2...giving us the $y$ $y$ -intercept of $(0, 2)$ $(0,2)$ . Note that since this is a horizontal line, there is no $x$ $x$ -intercept.

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What is the y intercept for the $y = 2$ $y=2$ graph?

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